On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913318814351360 |
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| author | Geroldinger, Alfred Gotti, Felix |
| author_facet | Geroldinger, Alfred Gotti, Felix |
| contents | We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of $\mathbb{N}_{\ge 2}$ occurs as a length set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11494 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set Geroldinger, Alfred Gotti, Felix Commutative Algebra 13A05, 13G05, 20M13 We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of $\mathbb{N}_{\ge 2}$ occurs as a length set. |
| title | On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set |
| topic | Commutative Algebra 13A05, 13G05, 20M13 |
| url | https://arxiv.org/abs/2404.11494 |